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Finding the Fourth Proportional to 8,492.88, 12,742.20 and 4,386

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Solution

The fourth proportional to 8,492.88, 12,742.20 and 4,386 is: 6,580.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.88 : 12,742.20 = 4,386 : x
  2. Step 2: Convert to fraction form
    8,492.88/12,742.20 = 4,386/x
  3. Step 3: Cross multiply
    8,492.88x = 12,742.20 × 4,386
  4. Step 4: Simplify right side
    8,492.88x = 55,887,289.20
  5. Step 5: Solve for x
    x = 55,887,289.20/8,492.88
  6. Step 6: Final answer
    x = 6,580.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.